Say whether the following are true or false. Explain your answers. (i) There is a non—abelian group of order 23. (ii) If 90 : G —> G is a homomorphism that is 1—1 then go is an isomorphism. ..) ) (in There is a group of order 30 with subgroups of orders 10 and 20. (iv H : {1} U {irrationals} is a subgroup of RX.
Say whether the following are true or false. Explain your answers.
(i) There is a non—abelian group of order 23. (ii) If 90 : G —> G is a homomorphism that is 1—1 then go is an isomorphism. ..)
) (in There is a group of order 30 with subgroups of orders 10 and 20. (iv H : {1} U {irrationals} is a subgroup of RX.
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